The nose of an ultralight plane is pointed south, and its airspeed indicator sho

Question

The nose of an ultralight plane is pointed south, and its airspeed indicator shows 44 m/s. The plane is in a 12 m/s wind blowing toward the southwest relative to the earth.

1.) Letting x be east and y be north, find the components of Vp/E (the velocity of the plane relative to the earth).

Express your answers using two significant figures, separated by commas.

Vx, Vy = ? m/s

2.) Find the magnitude of Vp/E. ( I know this one)

Vp/E = 53 m/s

3.) Find the direction of Vp/E.

I have no idea how to do this problems! Please show step by step so I can try to understand.

THANK YOU!!!

Explanation / Answer

Vp/E = VpA + VA/E = -44j - 12cos45i - 12sin45j = -44j -8.48i - 8.48j = -8.48i ?52.48j

Vx = -8.48 ........Vy = -52.48

2) Vp/E = sqrt(8.48^2+52.48^2)= 53.16 m/s

3)direction =tan^-1(Vy/Vx) = 80.82

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.